Algebraic Geometry Seminar: Brian Osserman (UC Davis)

Motivated by applications to Brill-Noether theory and higher-rank Brill-Noether theory, we discuss several variations on Grassmannians. These include "doubly symplectic Grassmannians", which parametrize subspaces which are simultaneously isotropic for a pair of symplectic forms, "linked Grassmannians", which parametrize tuples of subspaces of a chain of vector spaces linked via linear maps, and "symplectic linked Grassmannians", which is an amalgamation of the linked Grassmannian and symplectic Grassmannian.